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Two-Person Zero-Sum Matrix Game with Fuzzy Random Payoffs

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Computational Intelligence (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4114))

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Abstract

The purpose of this paper is to introduce a two-person zero-sum matrix game in which the payoffs are characterized as fuzzy random variables. Based on fuzzy random expected value operator, a fuzzy random expected minimax equilibrium strategy to the game is defined and the existence of the strategy is proved. Then an iterative algorithm based on fuzzy random simulation is designed to seek the minimax equilibrium strategy. Finally, a numerical example is provided to illustrate the effectiveness of the algorithm.

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© 2006 Springer-Verlag Berlin Heidelberg

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Xu, L., Zhao, R., Ning, Y. (2006). Two-Person Zero-Sum Matrix Game with Fuzzy Random Payoffs. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_101

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  • DOI: https://doi.org/10.1007/978-3-540-37275-2_101

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37274-5

  • Online ISBN: 978-3-540-37275-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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